Vector Charmonium Meson-Hybrid Mixing: a Field Theoretical Analysis
Date
2016-07-18
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
ORCID
0000-0001-8201-4788
Type
Thesis
Degree Level
Masters
Abstract
Quantum chromodynamics (QCD) is the quantum field theory describing strong interactions.
Hybrids in QCD, which are bound states consisting of a charm and an anticharm quark
with a constituent gluon, have been theorized for some time. In this thesis we begin to
explore the idea that perhaps these particles exist as quantum mechanical superpositions
of hybrid and pure mesonic states (which are bound states consisting of a quark and an
antiquark). In particular, we will be interested in vector charmonium (charm-anticharm)
meson-hybrid mixing. Here we do a field theoretical analysis of charmonium meson-hybrid mixing in the JPC = 1−− channel; the two point cross-correlator has been calculated to
leading order in the strong coupling (αs). We include the perturbative, four dimensional
and six dimensional condensate contributions. The perturbative contribution was found
to contain non-polynomial divergences which were addressed through the introduction of
operator mixing. The results of this calculation are presented in a form that is ready for a
QCD sum rules analysis.
Description
Keywords
chromodynamics, hybrid, charmonium, mixing
Citation
Degree
Master of Science (M.Sc.)
Department
Physics and Engineering Physics
Program
Physics